MATH 318 Final Exam - Maureen Cleary

  • Fermat - Reconstructs Plane Loci of Apollonius

    Through this reconstruction, he discovered that sets of points could be used in geometry by using a coordinate plane.
  • Fermat - Discovers Modern-Day Differentiation

    When studying various curves, he stumbled upon an algorithm that is the equivalent of what we know as differentiation, or derivatives. This occurred in the mid 1630s.
  • Fermat - Fermat's Last Theorem

    Fermat - Fermat's Last Theorem
    Fermat's Last Theorum was published after Fermat had passed, puzzling mathematicians for years to come.
  • Fermat - Fermat's Little Theorem

    Fermat - Fermat's Little Theorem
    Fermat developed another theorem, his Little Theorem which is also known as number theory.
  • Fermat - Fermant and Pascal work together on Probability

    Fermat and Pascal worked together on probability theory, they wrote letters back and forth discussing the issue in depth (and way passed my understanding of probability). Link to letters: https://www.york.ac.uk/depts/maths/histstat/pascal.pdf
  • Fermat - Fermat's Principle in Optics

    Fermat's Principle in optics relates to light. He found out that light takes the path of least time.
  • Fermat - Introduction to Loci Published

    After Fermat had passed, his work titled Introduction to Loci was published. This work includes the fundamentals of analytic geometry.
  • Neuron - First Nerve Cells Discovered

    Neuron - First Nerve Cells Discovered
    Johannes Purkinje discovered the first nerve cells, known as Purkinje cells. These cells are noted for their extreme dendritic branches.
  • Neuron - The first drawing of a neuron

    Neuron - The first drawing of a neuron
    Otto Friedrich Karl Dieters published the first drawing of a neuron, depicting the nucleus, axon, and multiple dendrites.
  • Neuron - The Reticularists' Theory Proposed

    This theory, proposed by Joseph van Gerlach, stated that the nervous system was composed of a connected network of cells, with no synapses.
  • Neuron - Santiago Ramon y Cajal's Advances the Golgi Method

    Neuron - Santiago Ramon y Cajal's Advances the Golgi Method
  • Neuron - The word 'neuron' is coined

    Vilhelm von Waldeyer decides to call the nerve cells that they were looking at in the brain, neurons, which is what we all know the cells in our brain as.
  • Neuron - The Neuron Doctrine Proposed

    The Neuron Doctrine is the opposing theory to the reticularists. It states that the brain and nervous system is made up of individuals cells that have gaps.
  • Neuron - Neuronists Win

    The Neuron Doctrine comes out as the agreed theory of our nervous system development, with strong evidence for the presence of synapses
  • Neuron - Neuroscience develops into a field

    In the 1960s, neuroscience was known as a branch of science relating to the study of our brain and nervous system.